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Commutation of projections and trace characterization on von Neumann algebras. IIWe obtain new necessary and sufficient commutation conditions for projections in terms of operator

Sufficient conditions for the asymptotic optimality of projection methods as applied to operator equationsSufficient conditions are found for the asymptotic optimality of projection methods as applied

Projection-operator determination of kinetic equations for a system of many particlesThe projection-operator method worked out in general form by Nakajima and Zwanzig is used

Differences of idempotents in C*-algebras = Q* and I is the identity operator in H. If U = P − Q is an isometry then U = U* is unitary and Q = I

Two classes of τ-measurable operators affiliated with a von Neumann algebra© 2017, Allerton Press, Inc.Let M be a von Neumann algebra of operators on a Hilbert space H, τ

Integrable products of measurable operators operators, assume also that M is the *-algebra of all τ-measurable operators. We give the sufficient

Invariant Subspaces of Operators on a Hilbert Space to the invariant subspace problem for an operator on a Hilbert space, based on projection-convex combinations in C

On hermitian operators X and Y meeting the condition -Y ≤ X ≤ YWe obtain a description of all pairs of Hermitian operators X and Y, which satisfy the condition -Y

On idempotent τ-measurable operators affiliated to a von Neumann algebra algebra M, let p, 0 < p < ∞, be a number, and let Lp(M, τ) be the space of operators whose pth power

On idempotent tau-measurable operators affiliated to a von Neumann algebraWe study idempotent tau-measurable operators affiliated to a von Neumann algebra

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